Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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q7

Given the differential equation
y" + 8 y' + 16y = 0
Determine the General Solution for the given Differential Equation.
A y(t) = C, e-4 + C, e-4
By(t) = C, e + C,
-8r
-1,
y(t) = C,e
V15
15
2
cos
+ C,e
sin
t
y (1) = C,e- + C,le-
-4r
D
-4r
%3D
E y(t) = C,
+ C,te
Transcribed Image Text:Given the differential equation y" + 8 y' + 16y = 0 Determine the General Solution for the given Differential Equation. A y(t) = C, e-4 + C, e-4 By(t) = C, e + C, -8r -1, y(t) = C,e V15 15 2 cos + C,e sin t y (1) = C,e- + C,le- -4r D -4r %3D E y(t) = C, + C,te
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